What is 11.75 percent of 55 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 55 is 100%, so we can write it down as 55=100%.
4. We know, that x is 11.75% of the output value, so we can write it down as x=11.75%.
5. Now we have two simple equations:
1) 55=100%
2) x=11.75%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
55/x=100%/11.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.75% of 55

55/x=100/11.75
(55/x)*x=(100/11.75)*x       - we multiply both sides of the equation by x
55=8.51063829787*x       - we divide both sides of the equation by (8.51063829787) to get x
55/8.51063829787=x
6.4625=x
x=6.4625

now we have:
11.75% of 55=6.4625